# ---
# title: 1476. Subrectangle Queries
# id: problem1476
# author: Tian Jun
# date: 2020-10-31
# difficulty: Medium
# categories: Array
# link: <https://leetcode.com/problems/subrectangle-queries/description/>
# hidden: true
# ---
# 
# Implement the class `SubrectangleQueries` which receives a `rows x cols`
# rectangle as a matrix of integers in the constructor and supports two methods:
# 
# 1.` updateSubrectangle(int row1, int col1, int row2, int col2, int newValue)`
# 
#   * Updates all values with `newValue` in the subrectangle whose upper left coordinate is `(row1,col1)` and bottom right coordinate is `(row2,col2)`.
# 
# 2.` getValue(int row, int col)`
# 
#   * Returns the current value of the coordinate `(row,col)` from the rectangle.
# 
# 
# 
# **Example 1:**
# 
#     
#     
#     **Input**
#     ["SubrectangleQueries","getValue","updateSubrectangle","getValue","getValue","updateSubrectangle","getValue","getValue"]
#     [[[[1,2,1],[4,3,4],[3,2,1],[1,1,1]]],[0,2],[0,0,3,2,5],[0,2],[3,1],[3,0,3,2,10],[3,1],[0,2]]
#     **Output**
#     [null,1,null,5,5,null,10,5]
#     **Explanation**
#     SubrectangleQueries subrectangleQueries = new SubrectangleQueries([[1,2,1],[4,3,4],[3,2,1],[1,1,1]]);  
#     // The initial rectangle (4x3) looks like:
#     // 1 2 1
#     // 4 3 4
#     // 3 2 1
#     // 1 1 1
#     subrectangleQueries.getValue(0, 2); // return 1
#     subrectangleQueries.updateSubrectangle(0, 0, 3, 2, 5);
#     // After this update the rectangle looks like:
#     // 5 5 5
#     // 5 5 5
#     // 5 5 5
#     // 5 5 5 
#     subrectangleQueries.getValue(0, 2); // return 5
#     subrectangleQueries.getValue(3, 1); // return 5
#     subrectangleQueries.updateSubrectangle(3, 0, 3, 2, 10);
#     // After this update the rectangle looks like:
#     // 5   5   5
#     // 5   5   5
#     // 5   5   5
#     // 10  10  10 
#     subrectangleQueries.getValue(3, 1); // return 10
#     subrectangleQueries.getValue(0, 2); // return 5
#     
# 
# **Example 2:**
# 
#     
#     
#     **Input**
#     ["SubrectangleQueries","getValue","updateSubrectangle","getValue","getValue","updateSubrectangle","getValue"]
#     [[[[1,1,1],[2,2,2],[3,3,3]]],[0,0],[0,0,2,2,100],[0,0],[2,2],[1,1,2,2,20],[2,2]]
#     **Output**
#     [null,1,null,100,100,null,20]
#     **Explanation**
#     SubrectangleQueries subrectangleQueries = new SubrectangleQueries([[1,1,1],[2,2,2],[3,3,3]]);
#     subrectangleQueries.getValue(0, 0); // return 1
#     subrectangleQueries.updateSubrectangle(0, 0, 2, 2, 100);
#     subrectangleQueries.getValue(0, 0); // return 100
#     subrectangleQueries.getValue(2, 2); // return 100
#     subrectangleQueries.updateSubrectangle(1, 1, 2, 2, 20);
#     subrectangleQueries.getValue(2, 2); // return 20
#     
# 
# 
# 
# **Constraints:**
# 
#   * There will be at most `500` operations considering both methods: `updateSubrectangle` and `getValue`.
#   * `1 <= rows, cols <= 100`
#   * `rows == rectangle.length`
#   * `cols == rectangle[i].length`
#   * `0 <= row1 <= row2 < rows`
#   * `0 <= col1 <= col2 < cols`
#   * `1 <= newValue, rectangle[i][j] <= 10^9`
#   * `0 <= row < rows`
#   * `0 <= col < cols`
# 
# 
## @lc code=start
using LeetCode

## add your code here:
## @lc code=end
